Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by

{(a, b): a, b ∈ A, b is exactly divisible by a}.


(i) Write R in roster form


(ii) Find the domain of R


(iii) Find the range of R.

Given: A = {1, 2, 3, 4, 6}

R = {(a, b): a, b ∈ A, b is exactly divisible by a}


Hence the relation in roaster form, R = {(1,1), (1,2), (1,3), (1,4), (1,6), (2,2), (2,4), (2,6), (3,3), (3,6), (4,4), (6,6)}


As Domain of R = set of all first elements of the order pairs in the relation.


⇒ Domain of R = {1, 2, 3, 4, 6}


Range of R = set of all second elements of the order pairs in the relation.


⇒ range of R = {1, 2, 3, 4, 6}.


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